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2 years ago

Marley had $120 to buy books. She purchased 6 books and has $18 left. How much was each book?

Mathematics

1 answer:

Hatshy [7]2 years ago

3 0

Answer:

$17

Step-by-step explanation:

If Marley had $120 to buy books and has a remainder of $18 left, then you would subtract 18 from 120 first.

120 - 18 = 102

Next you would divide.

102/6 = 17

The price of each book was $17.

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A triangle has sides with lengths of 65 in 72 in and 97 in is it a right triangle?

Ray Of Light [21]

Answer:

yes

Step-by-step explanation:

By pythagoras' theorem,

97^2 = 9409

65^2 + 72^2 = 9409

since 65^2 + 72^2 = 97^2, the triangle is a right angled triangle

This is a question on Pythagoras theorem. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

6 0

3 years ago

Find the standard deviation of the following data. Round your answer to one decimal place. x 0 1 2 3 4 5 P(X

lbvjy [14]

Answer:

$\sigma = 1.8$

Step-by-step explanation:

Given

$\begin{array}{ccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} \ \\ P(x) & {0.2} & {0.1} & {0.1} & {0.2} & {0.2}& {0.2} \ \end{array}$

Required

The standard deviation

First, calculate the expected value E(x)

$E(x) = \sum x * P(x)$

So, we have:

$E(x) = 0 * 0.2 + 1 * 0.1 + 2 * 0.1 + 3 * 0.2 + 4 * 0.2 + 5 * 0.2$

$E(x) = 2.7$

Next, calculate E(x^2)

$E(x^2) = \sum x^2 * P(x)$

So, we have:

$E(x^2) = 0^2 * 0.2 + 1^2 * 0.1 + 2^2 * 0.1 + 3^2 * 0.2 + 4^2 * 0.2 + 5^2 * 0.2$

$E(x^2) = 10.5$

The standard deviation is:

$\sigma = \sqrt{E(x^2) - (E(x))^2}$

$\sigma = \sqrt{10.5 - 2.7^2}$

$\sigma = \sqrt{10.5 - 7.29}$

$\sigma = \sqrt{3.21}$

$\sigma = 1.8$ --- approximated

5 0

3 years ago

in 2004, 11.65 million people between the ages of 18 and 24 voted ( compared to 47.3 million voters between the ages of 45 and 6

QveST [7]

Namely, what is 11.65 in percentage from 24.9

if we take 24.9 to be the 100%, let's see

$\bf \begin{array}{ccllll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
24.9&100\\
11.65&x
\end{array}\implies \cfrac{24.9}{11.65}=\cfrac{100}{x}$

solve for "x".

4 0

3 years ago

hjlf

Answer:

1) {0,1,4}

Step-by-step explanation:

(x,y)

domain is x

range is y

so in this case the domain is 0,1,4

6 0

2 years ago

Factor the polynomial. 6g8 – 3g4 + 9g2 urgentt

Vitek1552 [10]

Answer:

3g^2 (2g^6-g^2+3) the ^ symbole is means to the power

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers